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composition-type-lemma6
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∀[Gamma:j⊢]. ∀[phi:{Gamma ⊢ _:𝔽}]. ∀[A:{Gamma.𝕀 ⊢ _}]. ∀[u:{Gamma, phi.𝕀 ⊢ _:A}].
  ({Gamma ⊢ _:(A)[1(𝕀)][phi |⟶ (u)[1(𝕀)]]} ∈ 𝕌{[i | j']})
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\mforall{}[Gamma:j\mvdash{}].  \mforall{}[phi:\{Gamma  \mvdash{}  \_:\mBbbF{}\}].  \mforall{}[A:\{Gamma.\mBbbI{}  \mvdash{}  \_\}].  \mforall{}[u:\{Gamma,  phi.\mBbbI{}  \mvdash{}  \_:A\}].
    (\{Gamma  \mvdash{}  \_:(A)[1(\mBbbI{})][phi  |{}\mrightarrow{}  (u)[1(\mBbbI{})]]\}  \mmember{}  \mBbbU{}\{[i  |  j']\})
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